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2441441442 = 2311219379467
BaseRepresentation
bin1001000110000101…
…0111000010100010
320022011000002001010
42101201113002202
520000002111232
61042132321350
7114333624036
oct22141270242
96264002033
102441441442
111043148100
12581773256
132cba6860b
1419236a1c6
15e45100cc
hex918570a2

2441441442 has 96 divisors (see below), whose sum is σ = 5676652800. Its totient is φ = 697546080.

The previous prime is 2441441413. The next prime is 2441441447.

2441441442 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2441441447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5227693 + ... + 5228159.

It is an arithmetic number, because the mean of its divisors is an integer number (59131800).

Almost surely, 22441441442 is an apocalyptic number.

2441441442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2441441442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838326400).

2441441442 is an abundant number, since it is smaller than the sum of its proper divisors (3235211358).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2441441442 is a wasteful number, since it uses less digits than its factorization.

2441441442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 881 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 2441441442 is about 49410.9445568489. The cubic root of 2441441442 is about 1346.5281511154.

It can be divided in two parts, 24414 and 41442, that added together give a palindrome (65856).

The spelling of 2441441442 in words is "two billion, four hundred forty-one million, four hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 379 418 467 627 726 758 934 1137 1254 1401 2274 2299 2802 4169 4598 5137 6897 7201 8338 8873 10274 12507 13794 14402 15411 17746 21603 25014 26619 30822 43206 45859 53238 56507 79211 91718 97603 113014 137577 158422 169521 176993 195206 237633 275154 292809 339042 353986 475266 530979 585618 871321 1061958 1073633 1742642 1946923 2147266 2613963 3220899 3362867 3893846 5227926 5840769 6441798 6725734 10088601 11681538 20177202 21416153 36991537 42832306 64248459 73983074 110974611 128496918 221949222 406906907 813813814 1220720721 2441441442